Step 1
Given; If angle A and angle B are supplementary and angle A = 4x - 8 and angle B = 2x +2, what is the value of x?
Step 2
Two angles are called supplementary when their measures add up to 180 degrees.
Thus;
[tex]\begin{gathered} m\angle A\text{ + m}\angle B=180^o \\ 4x-8+(2x+2)=180^o \end{gathered}[/tex][tex]\begin{gathered} 4x+2x+2-8=180^o \\ 6x-6=180 \\ 6x=180+6 \\ 6x=186 \\ \frac{6x}{6}=\frac{186}{6} \\ x=31 \end{gathered}[/tex]Answer;
[tex]x=31[/tex]